Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics.
The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem.
Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors.
The book aims to help students with the transition from concrete to abstract mathematical thinking.
Zahle einfach mit Karte, Klarna, Apple Pay oder Google Pay. Nicht zufrieden? Du hast immer ein 14-tägiges Widerrufsrecht. Lies mehr in unseren AGB. Hast du Fragen, schreib uns eine E-Mail an hello@memmo.org.
Memmo macht das Lernen einfacher – wo auch immer du bist. Bei uns findest du deine Kursbücher und smarte Lerntools an einem Ort: Zusammenfassungen, Quizzes, Podcasts und Lernkarten. Und Ted, dein Lernbuddy, beantwortet alles, was du wissen möchtest. Über 50.000 Studierende lernen bereits hier – gemacht, damit du schneller lernst und weniger Stress hast.